{"id":17220,"date":"2021-12-18T23:25:39","date_gmt":"2021-12-18T15:25:39","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=17220"},"modified":"2026-02-20T16:15:41","modified_gmt":"2026-02-20T08:15:41","slug":"%e7%ac%94%e8%ae%b0-opensees%e4%b8%ad%e7%9a%84%e7%91%9e%e4%b8%bd%e9%98%bb%e5%b0%bc-rayleigh-damping-in-opensees","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=17220","title":{"rendered":"[\u8f6f\u4ef6\u7b14\u8bb0] OpenSees\u4e2d\u7684\u745e\u4e3d\u963b\u5c3c( Rayleigh Damping in OpenSees)"},"content":{"rendered":"<p><span style=\"color: #ff00ff; background-color: #ccffcc;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #000000;\">\u5c0f\u4f19\u4f34\u62ff\u4e86\u4e24\u4efdOpenSees\u8d44\u6599\u95ee\uff0cOpenSees\u4e2d\u745e\u4e3d\u963b\u5c3c\uff08 Rayleigh Damping\uff09\u7684\u521a\u5ea6\u7cfb\u6570\u5e94\u8be5\u5982\u4f55\u53d6\uff0c\u641e\u4e0d\u6e05\u695a\u51e0\u4e2a\u521a\u5ea6\u7cfb\u6570\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p>OpenSees\u4e2dRayleigh_Damping\u7684\u547d\u4ee4\u5728\u8fd9\uff1a<a href=\"https:\/\/opensees.berkeley.edu\/wiki\/index.php\/Rayleigh_Damping_Command\" target=\"_blank\" rel=\"noopener\">https:\/\/opensees.berkeley.edu\/wiki\/index.php\/Rayleigh_Damping_Command<\/a><\/p>\n<p>\u5177\u4f53\u8d34\u56fe\u5982\u4e0b\uff1a<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17229\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2021\/12\/OpenSees_RayleighDamping_1.png\" alt=\"\" width=\"1231\" height=\"459\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2021\/12\/OpenSees_RayleighDamping_1.png 1231w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2021\/12\/OpenSees_RayleighDamping_1-768x286.png 768w\" sizes=\"auto, (max-width: 1231px) 100vw, 1231px\" \/><\/p>\n<p>\u7531\u56fe\u53ef\u89c1\uff0cOpenSees\u7684\u745e\u4e3d\u963b\u5c3c\u53ef\u4ee5\u8003\u8651\u4e09\u79cd\u521a\u5ea6\u77e9\u9635\uff0c\u5e76\u4e14\u53ef\u4ee5\u8003\u8651\u4e0d\u540c\u7684\u521a\u5ea6\u7cfb\u6570\u3002<\/p>\n<p>\u4e09\u79cd\u521a\u5ea6\u77e9\u9635\u4e3a\uff1a<\/p>\n<p>current stiffness maxtrix\uff0c<\/p>\n<p>initial stiffness maxtrix\uff0c<\/p>\n<p>committed stiffness maxtrix\uff0c<\/p>\n<p>\u524d\u4e24\u4e2a\u6bd4\u8f83\u597d\u7406\u89e3\uff0c\u5982\u5b57\u9762\u610f\u601d\uff0c\u5206\u522b\u4e3a\u5f53\u524d\u521a\u5ea6\u77e9\u9635\u548c\u521d\u59cb\u521a\u5ea6\u77e9\u9635\uff0c\u6700\u540e\u4e00\u4e2acommitted\u5b57\u9762\u610f\u601d\u4e3a \u63d0\u4ea4\u5b8c\u6210\u3002\u5176\u5b9e\u8bf4\u7684\u662f\u4e0a\u4e00\u6b65\u6536\u655b\u7684\u521a\u5ea6\u77e9\u9635\u3002\u5728OpenSees\u4e2d\uff0c\u975e\u7ebf\u6027\u8fed\u4ee3\u6536\u655b\u540e\uff0c\u90fd\u662f\u901a\u8fc7commit\u51fd\u6570\u8fdb\u884c\u6536\u655b\u540e\u76f8\u5173\u53d8\u91cf\u7684\u4fdd\u5b58\u6216\u8005\u4f20\u9012\u5de5\u4f5c\uff0c\u6240\u4ee5\u5e26committed\u7684\u53d8\u91cf\u4e3a\u4e0a\u4e00\u6b65\u6536\u655b\u72b6\u6001\u7684\u53d8\u91cf\u3002\u8fd9\u4e2a\u53ef\u4ee5\u5728\u6e90\u4ee3\u7801\u4e2d\u770b\u5230\u3002<\/p>\n<p>\u7528\u4e0d\u540c\u7684\u521a\u5ea6\u77e9\u9635\u5efa\u7acb\u963b\u5c3c\u6a21\u578b\uff0c\u5206\u6790\u7ed3\u679c\u80af\u5b9a\u662f\u6709\u6240\u5dee\u5f02\u7684\uff0c\u901a\u5e38\u5dee\u5f02\u53ef\u80fd\u4e0d\u5927\uff08\u5177\u4f53\u60c5\u51b5\u5f97\u5177\u4f53\u5206\u6790\uff0c\u53ef\u4ee5\u770b\u8fd9\u6761\u547d\u4ee4\u5e95\u4e0b\u7684\u53c2\u8003\u6587\u4ef6\uff09\uff0c\u4f46\u53ef\u4ee5\u786e\u5b9a\u7684\u662f\uff0c\u4f7f\u7528\u5f53\u524d\u521a\u5ea6\u77e9\u9635\u6216\u8005\u6536\u655b\u521a\u5ea6\u77e9\u9635\uff0c\u8ba1\u7b97\u91cf\u80af\u5b9a\u4f1a\u6bd4\u4f7f\u7528\u521d\u59cb\u521a\u5ea6\u77e9\u9635\u5927\u4e00\u4e9b\uff0c\u4e00\u822c\u5e38\u89c4\u7684\u8bbe\u8ba1\u8f6f\u4ef6\uff0c\u4e3b\u8981\u662f\u7528\u521d\u59cb\u521a\u5ea6\u77e9\u9635\u53ca\u8d28\u91cf\u77e9\u9635\u5efa\u7acb\u745e\u4e3d\u963b\u5c3c\uff0c\u6b64\u65f6betakinit\u53caalphaM\u53ef\u53d61.0\uff0c\u5176\u4ed6\u521a\u5ea6\u7cfb\u6570\u53ef\u53d60\u3002<\/p>\n<p><center><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-17220\" data-content-id=\"17220\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(17220, 1);\">Vote Up +31<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(17220, 2);\">Vote Down -4<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/center><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u76f8\u5173\u8bdd\u9898\u00a0<span style=\"color: #0000ff;\">( Related Topics)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: left;\"><strong>[01].\u00a0<a title=\"[\u7a0b\u5e8f] OSMatTest: OpenSees Material Test [OpenSees\u5355\u8f74\u6750\u6599\u6d4b\u8bd5\u5de5\u5177]\" href=\"http:\/\/www.jdcui.com\/?p=2571\">[\u7a0b\u5e8f] OSMatTest: OpenSees Material Test [OpenSees\u5355\u8f74\u6750\u6599\u6d4b\u8bd5\u5de5\u5177]<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[02].<\/strong>\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2603\"><strong>OpenSees Steel01 Material Test<\/strong><\/a><\/p>\n<p style=\"text-align: left;\"><strong>[03].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2567\">OpenSees Steel02 Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[04].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2668\">OpenSees RambergOsgoodSteel Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[05].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2673\">OpenSees Concrete01 Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[06].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2573\">OpenSees Concrete02 Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[07].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2688\">OpenSees Concrete04 Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[08].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2696\">OpenSees ConcreteD Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[09].\u00a0<a href=\"http:\/\/www.jdcui.com\/?p=2703\">OpenSees Concrete06 Material Test<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[10].\u00a0<a title=\"[\u7a0b\u5e8f] OSFSV 2017: OpenSees Fiber Section Viewer [OpenSees\u7ea4\u7ef4\u622a\u9762\u53ef\u89c6\u5316\u5de5\u5177]\" href=\"http:\/\/www.jdcui.com\/?p=5007\" target=\"_blank\" rel=\"noopener\">[\u7a0b\u5e8f] OSFSV 2017: OpenSees Fiber Section Viewer [OpenSees\u7ea4\u7ef4\u622a\u9762\u53ef\u89c6\u5316\u5de5\u5177]<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[11]. <a title=\"[\u7a0b\u5e8f] OSBWTest: OpenSees BoucWen Material Test ( OpenSees BoucWen\u6750\u6599\u6d4b\u8bd5)\" href=\"http:\/\/www.jdcui.com\/?p=12655\" target=\"_blank\" rel=\"noopener\">[\u7a0b\u5e8f] OSBWTest: OpenSees BoucWen Material Test ( OpenSees BoucWen\u6750\u6599\u6d4b\u8bd5)<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[12]. <a title=\"[\u7a0b\u5e8f] OSFSV v2021: OpenSees Fiber Section Viewer [OpenSees\u7ea4\u7ef4\u622a\u9762\u53ef\u89c6\u5316\u5de5\u5177]\" href=\"http:\/\/www.jdcui.com\/?p=16057\" target=\"_blank\" rel=\"noopener\">[\u7a0b\u5e8f] OSFSV v2021: OpenSees Fiber Section Viewer [OpenSees\u7ea4\u7ef4\u622a\u9762\u53ef\u89c6\u5316\u5de5\u5177]<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[13]. <a title=\"[OFSV][\u6848\u4f8b][OpenSees] OFSV: OSFiberSectionViewer\u63d0\u793a\u201csqrt: DOMAIN error\u201d\u9519\u8bef\u7684\u89e3\u51b3\u529e\u6cd5!!\" href=\"http:\/\/www.jdcui.com\/?p=16324\" target=\"_blank\" rel=\"noopener noreferrer\">[OSFSV][\u6848\u4f8b][OpenSees] OSFSV: OSFiberSectionViewer\u63d0\u793a\u201csqrt: DOMAIN error\u201d\u9519\u8bef\u7684\u89e3\u51b3\u529e\u6cd5!!<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[14]. <a title=\"[OpenSees] \u591a\u4e2a\u5355\u8f74\u4e8c\u6298\u7ebf\u975e\u7ebf\u6027\u672c\u6784\u5e76\u8054\u540e\u7684\u6ede\u56de\u66f2\u7ebf\u662f\u4ec0\u4e48\u6837\u5b50\u7684\uff1f\" href=\"http:\/\/www.jdcui.com\/?p=16360\" target=\"_blank\" rel=\"noopener\">[OpenSees] \u591a\u4e2a\u5355\u8f74\u4e8c\u6298\u7ebf\u975e\u7ebf\u6027\u672c\u6784\u5e76\u8054\u540e\u7684\u6ede\u56de\u66f2\u7ebf\u662f\u4ec0\u4e48\u6837\u5b50\u7684\uff1f<\/a><\/strong><\/p>\n<p style=\"text-align: left;\"><strong>[15]. <a title=\"[\u8f6f\u4ef6\u7b14\u8bb0] OpenSees\u4e2d\u7684\u745e\u4e3d\u963b\u5c3c( Rayleigh Damping in OpenSees)\" href=\"http:\/\/www.jdcui.com\/?p=17220\" target=\"_blank\" rel=\"noopener\">[\u8f6f\u4ef6\u7b14\u8bb0] OpenSees\u4e2d\u7684\u745e\u4e3d\u963b\u5c3c( Rayleigh Damping in OpenSees)<\/a><\/strong><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0(<span style=\"color: #000080;\">\u00a0<span style=\"color: #0000ff;\">Wechat\u00a0Subscription<\/span><\/span>)<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3636\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><strong>\u6b22\u8fce\u5173\u6ce8\u00a0\u201c<span style=\"color: #ff00ff;\">\u7ed3\u6784\u4e4b\u65c5<\/span>\u201d\u00a0\u5fae\u4fe1\u516c\u4f17\u53f7<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002 \u5c0f\u4f19\u4f34\u62ff\u4e86\u4e24\u4efdOpenSees\u8d44\u6599\u95ee\uff0cOpenSees\u4e2d\u745e\u4e3d\u963b\u5c3c\uff08 Rayleigh Damping\uff09\u7684\u521a\u5ea6\u7cfb\u6570\u5e94\u8be5\u5982\u4f55\u53d6\uff0c\u641e\u4e0d\u6e05\u695a\u51e0\u4e2a\u521a\u5ea6\u7cfb\u6570\u7684\u5173\u7cfb\u3002 OpenSees\u4e2dRayleigh_Damping\u7684\u547d\u4ee4\u5728\u8fd9\uff1ahttps:\/\/opensees.berkeley.edu\/wiki\/index.php\/Rayleigh_Damping_Command \u5177\u4f53\u8d34\u56fe\u5982\u4e0b\uff1a \u7531\u56fe\u53ef\u89c1\uff0cOpenSees\u7684\u745e\u4e3d\u963b\u5c3c\u53ef\u4ee5\u8003\u8651\u4e09\u79cd\u521a\u5ea6\u77e9\u9635\uff0c\u5e76\u4e14\u53ef\u4ee5\u8003\u8651\u4e0d\u540c\u7684\u521a\u5ea6\u7cfb\u6570\u3002 \u4e09\u79cd\u521a\u5ea6\u77e9\u9635\u4e3a\uff1a current stiffness maxtrix\uff0c initial stiffness maxtrix\uff0c committed stiffness maxtrix\uff0c \u524d\u4e24\u4e2a\u6bd4\u8f83\u597d\u7406\u89e3\uff0c\u5982\u5b57\u9762\u610f\u601d\uff0c\u5206\u522b\u4e3a\u5f53\u524d\u521a\u5ea6\u77e9\u9635\u548c\u521d\u59cb\u521a\u5ea6\u77e9\u9635\uff0c\u6700\u540e\u4e00\u4e2acommitted\u5b57\u9762\u610f\u601d\u4e3a \u63d0\u4ea4\u5b8c\u6210\u3002\u5176\u5b9e\u8bf4\u7684\u662f\u4e0a\u4e00\u6b65\u6536\u655b\u7684\u521a\u5ea6\u77e9\u9635\u3002\u5728OpenSees\u4e2d\uff0c\u975e\u7ebf\u6027\u8fed\u4ee3\u6536\u655b\u540e\uff0c\u90fd\u662f\u901a\u8fc7commit\u51fd\u6570\u8fdb\u884c\u6536\u655b\u540e\u76f8\u5173\u53d8\u91cf\u7684\u4fdd\u5b58\u6216\u8005\u4f20\u9012\u5de5\u4f5c\uff0c\u6240\u4ee5\u5e26committed\u7684\u53d8\u91cf\u4e3a\u4e0a\u4e00\u6b65\u6536\u655b\u72b6\u6001\u7684\u53d8\u91cf\u3002\u8fd9\u4e2a\u53ef\u4ee5\u5728\u6e90\u4ee3\u7801\u4e2d\u770b\u5230\u3002 \u7528\u4e0d\u540c\u7684\u521a\u5ea6\u77e9\u9635\u5efa\u7acb\u963b\u5c3c\u6a21\u578b\uff0c\u5206\u6790\u7ed3\u679c\u80af\u5b9a\u662f\u6709\u6240\u5dee\u5f02\u7684\uff0c\u901a\u5e38\u5dee\u5f02\u53ef\u80fd\u4e0d\u5927\uff08\u5177\u4f53\u60c5\u51b5\u5f97\u5177\u4f53\u5206\u6790\uff0c\u53ef\u4ee5\u770b\u8fd9\u6761\u547d\u4ee4\u5e95\u4e0b\u7684\u53c2\u8003\u6587\u4ef6\uff09\uff0c\u4f46\u53ef\u4ee5\u786e\u5b9a\u7684\u662f\uff0c\u4f7f\u7528\u5f53\u524d\u521a\u5ea6\u77e9\u9635\u6216\u8005\u6536\u655b\u521a\u5ea6\u77e9\u9635\uff0c\u8ba1\u7b97\u91cf\u80af\u5b9a\u4f1a\u6bd4\u4f7f\u7528\u521d\u59cb\u521a\u5ea6\u77e9\u9635\u5927\u4e00\u4e9b\uff0c\u4e00\u822c\u5e38\u89c4\u7684\u8bbe\u8ba1\u8f6f\u4ef6\uff0c\u4e3b\u8981\u662f\u7528\u521d\u59cb\u521a\u5ea6\u77e9\u9635\u53ca\u8d28\u91cf\u77e9\u9635\u5efa\u7acb\u745e\u4e3d\u963b\u5c3c\uff0c\u6b64\u65f6betakinit\u53caalphaM\u53ef\u53d61.0\uff0c\u5176\u4ed6\u521a\u5ea6\u7cfb\u6570\u53ef\u53d60\u3002 \u76f8\u5173\u8bdd\u9898\u00a0( Related Topics) [01].\u00a0[\u7a0b\u5e8f] OSMatTest: OpenSees Material Test [OpenSees\u5355\u8f74\u6750\u6599\u6d4b\u8bd5\u5de5\u5177] [02].\u00a0OpenSees &#8230;<\/p>\n","protected":false},"author":1,"featured_media":17229,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,1087,5],"tags":[261,127,2290],"class_list":["post-17220","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-opensees","category-structural-analysis-","category-structural-engineering","tag-opensees","tag-rayleigh-damping","tag-2290"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"opensees,rayleigh damping,\u745e\u4e3d\u963b\u5c3c\" \/>\n\t<link rel=\"canonical\" href=\"http:\/\/www.jdcui.com\/?p=17220\" \/>\n\t<meta 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